Laplace Transform solution verification: $\ddot{y} + 2y = 2e^t\implies \frac13\cos(\sqrt{2}t)-\frac{2}{3\sqrt{2}}\sin(\sqrt{2}t)+\frac23e^t\,\text{?}$

score 4.5k · Answer 12 · 2026-03-26 22:13:51

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score 95 · Answer 13 · 2014-11-18 18:01:44

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score 60 · Answer 15 · 2026-03-26 22:11:55

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Laplace Transform solution verification: $\ddot{y} + 2y = 2e^t\implies \frac13\cos(\sqrt{2}t)-\frac{2}{3\sqrt{2}}\sin(\sqrt{2}t)+\frac23e^t\,\text{?}$

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